338568 has 16 divisors (see below), whose sum is σ = 846480. Its totient is φ = 112848.

The previous prime is 338567. The next prime is 338573. The reversal of 338568 is 865833.

It is a super-2 number, since 2×338568² = 229256581248, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (338563) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 7030 + ... + 7077.

It is an arithmetic number, because the mean of its divisors is an integer number (52905).

2³³⁸⁵⁶⁸ is an apocalyptic number.

It is an amenable number.

338568 is an abundant number, since it is smaller than the sum of its proper divisors (507912).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

338568 is a wasteful number, since it uses less digits than its factorization.

338568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14116 (or 14112 counting only the distinct ones).

The product of its digits is 17280, while the sum is 33.

The square root of 338568 is about 581.8659639470. The cubic root of 338568 is about 69.6971954242.

The spelling of 338568 in words is "three hundred thirty-eight thousand, five hundred sixty-eight".